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A mathematical model of cancer treatment by radiotherapy.

Zijian LiuChenxue Yang
Published in: Computational and mathematical methods in medicine (2014)
A periodic mathematical model of cancer treatment by radiotherapy is presented and studied in this paper. Conditions on the coexistence of the healthy and cancer cells are obtained. Furthermore, sufficient conditions on the existence and globally asymptotic stability of the positive periodic solution, the cancer eradication periodic solution, and the cancer win periodic solution are established. Some numerical examples are shown to verify the validity of the results. A discussion is presented for further study.
Keyphrases
  • papillary thyroid
  • early stage
  • squamous cell
  • radiation therapy
  • locally advanced
  • radiation induced
  • lymph node metastasis
  • squamous cell carcinoma
  • childhood cancer